| Conformal invariance for nonholonomic system of Chetaev’s type with variable mass |
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| 引用本文： | 黄卫立,蔡建乐. Conformal invariance for nonholonomic system of Chetaev’s type with variable mass[J]. 应用数学和力学(英文版), 2012, 33(11): 1393-1402. DOI: 10.1007/s10483-012-1631-7 |
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| 作者姓名： | 黄卫立 蔡建乐 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10932002） and the Natural Science Foundation of Zhejiang Province of China （No. LY12A02008） |
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| 摘 要： |
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| 收稿时间： | 2012-03-12 |
Conformal invariance for nonholonomic system of Chetaev’s type with variable mass |
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| Wei-li Huang,Jian-le Cai. Conformal invariance for nonholonomic system of Chetaev’s type with variable mass[J]. Applied Mathematics and Mechanics(English Edition), 2012, 33(11): 1393-1402. DOI: 10.1007/s10483-012-1631-7 |
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| Authors: | Wei-li Huang Jian-le Cai |
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| Affiliation: | 1. Department of Physics and Telecom Engineering, Hunan City University, Yiyang 413000, Hunan Province, P. R. China;2. College of Science, Hangzhou Normal University, Hangzhou 310018, P. R. China |
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| Abstract: | Conformal invariance and conserved quantities for a nonholonomic system of Chetaev’s type with variable mass are studied. The conformal factor expressions are derived. The necessary and sufficient conditions are obtained to make the system’s conformal invariance Lie symmetrical. The conformal invariance of the weak and strong Lie symmetries for the system is given. The corresponding conserved quantities of the system are derived. Finally, an application of the result is shown with an example. |
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| Keywords: | nonholonomic system variable mass conformal invariance conserved quantity polar continua dynamical equations anholonomic physical frame |
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